MCQ
If $\overrightarrow {AO} + \overrightarrow {OB} = \overrightarrow {BO} + \overrightarrow {OC} ,$ then $A, B, C$ form
  • A
    Equilateral triangle
  • B
    Right angled triangle
  • Isosceles triangle
  • D
    Line

Answer

Correct option: C.
Isosceles triangle
c
(c) $\overrightarrow {AB} = \overrightarrow {BC} $ $(as\, given)$.

Hence it is an isosceles triangle.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Similar questions

The value of the integral $\sum\limits_{k = 1}^n {\int_0^1 {f(k - 1 + x)\,dx} } $ is
Find the values of $k$ so that the function $f$ is continuous at the indicated point.

$f(x) = \left\{ {\begin{array}{*{20}{l}}
{\frac{{k\cos x}}{{\pi  - 2x}},}&{{\rm{ if }}\,x\, \ne \,\frac{\pi }{2}}\\
{3,}&{{\rm{ if }}\,x\, = \,\frac{\pi }{2}}
\end{array}} \right.$    at $x = \frac{\pi }{2}$

If $(x,\,\,y,\,\,z) \ne (0,\,\,0,\,\,0)$ and $(i + j + 3\,k)\,x + (3\,i - 3j + k)\,y$$ + ( - 4i + 5j)\,z = \lambda \,(xi + yj + zk),$ then the value of $\lambda $ will be
The area of the ellipse $\frac{\text{x}2}{9}+\frac{\text{y}^2}{4}=1$ in first quadrant is $6\pi$ sq. units.
The ellipse is rotated about its centre in anti $-$ clockwise direction till its major axis coincides with $y-$ axis. Now the area of the ellipse in first Quadrant is $\pi$ sq. units.
Let $g(x) = 1 + x - [x]$ and $\text{f(x)}=\begin{cases}-1,&\text{x}<0\\0,&\text{x}=0\\1,&\text{x}>0\end{cases}$ where $[x]$ denotes the greatest integer less than or equal to $x.$ Then for all $x, f(g(x))$ is equal to:
Choose the correct answer from the given four options.
Let A = {1, 2, 3} and consider the relation R = {1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)}. Then R is:
$\int_{\,0}^{\,\pi } {\log {{\sin }^2}x\,dx = } $
Choose the correct answer from the given four options. The vectors $\lambda\hat{\text{i}}+\hat{\text{j}}+2\hat{\text{k}},\ \hat{\text{i}}+\lambda\hat{\text{j}}-\hat{\text{k}}$ and $2\hat{\text{i}}-\hat{\text{j}}+\lambda\hat{\text{k}}$ are coplanar if :
The angle between the lines $\frac{{x + 4}}{1} = \frac{{y - 3}}{2} = \frac{{z + 2}}{3}$ and $\frac{x}{3} = \frac{{y - 1}}{{ - 2}} = \frac{z}{1}$ is
Which of the following equation is a linear differential equation of order $3\ ?\ [$Note: The original question asks for linear equation, but it should be linear differential equation$]:$